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Simplifying -4m + 34 + -5(m + -2) = 6m + -1(3m + -5) + -2m + 9 Reorder the terms: -4m + 34 + -5(-2 + m) = 6m + -1(3m + -5) + -2m + 9 -4m + 34 + (-2 * -5 + m * -5) = 6m + -1(3m + -5) + -2m + 9 -4m + 34 + (10 + -5m) = 6m + -1(3m + -5) + -2m + 9 Reorder the terms: 34 + 10 + -4m + -5m = 6m + -1(3m + -5) + -2m + 9 Combine like terms: 34 + 10 = 44 44 + -4m + -5m = 6m + -1(3m + -5) + -2m + 9 Combine like terms: -4m + -5m = -9m 44 + -9m = 6m + -1(3m + -5) + -2m + 9 Reorder the terms: 44 + -9m = 6m + -1(-5 + 3m) + -2m + 9 44 + -9m = 6m + (-5 * -1 + 3m * -1) + -2m + 9 44 + -9m = 6m + (5 + -3m) + -2m + 9 Reorder the terms: 44 + -9m = 5 + 9 + 6m + -3m + -2m Combine like terms: 5 + 9 = 14 44 + -9m = 14 + 6m + -3m + -2m Combine like terms: 6m + -3m = 3m 44 + -9m = 14 + 3m + -2m Combine like terms: 3m + -2m = 1m 44 + -9m = 14 + 1m Solving 44 + -9m = 14 + 1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. 44 + -9m + -1m = 14 + 1m + -1m Combine like terms: -9m + -1m = -10m 44 + -10m = 14 + 1m + -1m Combine like terms: 1m + -1m = 0 44 + -10m = 14 + 0 44 + -10m = 14 Add '-44' to each side of the equation. 44 + -44 + -10m = 14 + -44 Combine like terms: 44 + -44 = 0 0 + -10m = 14 + -44 -10m = 14 + -44 Combine like terms: 14 + -44 = -30 -10m = -30 Divide each side by '-10'. m = 3 Simplifying m = 3
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